The generator matrix

 1  0  1  1  1  6  1 12  1 10  1  1  1  1 14  1  8  1  1  4  1  6  4  1  1  1  1  1  2  1  8  1  1 12  2  2  2
 0  1 11  6 13  1 12  1  3  1 10  5  7  8  1  1  1 14 15  1  4  1  1  9  6  8 11 14  1 11  1  4 10  1  6  2 10
 0  0 12  0  4  0  0  8  0  8  0  8 12  4  4 12 12 12  0  4  4  8 12  0  8 12  4 12 12 12 12  4  8  0 12 12  0
 0  0  0  8  0  0  8  0  0  8  8  8  8  0  0  8  0  8  0  8  8  8  0  0  0  8  8  0  0  0  0  8  0  0  8  8  0
 0  0  0  0  8  0  8  8  8  0  0  0  8  0  8  0  0  0  8  0  0  8  0  8  8  8  0  8  8  0  8  0  0  8  8  0  0
 0  0  0  0  0  8  0  8  8  8  8  0  8  0  8  8  0  0  0  8  8  0  8  0  8  0  0  0  0  8  8  0  0  0  8  8  0

generates a code of length 37 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+177x^32+200x^33+658x^34+904x^35+1528x^36+1392x^37+1396x^38+880x^39+684x^40+200x^41+116x^42+8x^43+32x^44+4x^46+10x^48+2x^50

The gray image is a code over GF(2) with n=296, k=13 and d=128.
This code was found by Heurico 1.16 in 0.549 seconds.